Research output: Contribution to journal › Article › peer-review
On some selectors of a core. / Zakharov, V. V.; Akimova, A. N.
In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 3, 01.01.2002, p. 10-16.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On some selectors of a core
AU - Zakharov, V. V.
AU - Akimova, A. N.
PY - 2002/1/1
Y1 - 2002/1/1
N2 - The investigation of the properties of a new solution of TU-cooperative games called a subcore shows that a grand subcore is a multiple selector of the core in a balanced game. Under additional restrictions for the structure of set X0(v) optimal solutions of the linear programming problem considered sufficient are obtained for a nucleus to be a selector of a grand subcore. Moreover we proved the proportional nucleus, which is the modification of a nucleus, is a selector of a grand subcore in any balanced n-person TU-game.
AB - The investigation of the properties of a new solution of TU-cooperative games called a subcore shows that a grand subcore is a multiple selector of the core in a balanced game. Under additional restrictions for the structure of set X0(v) optimal solutions of the linear programming problem considered sufficient are obtained for a nucleus to be a selector of a grand subcore. Moreover we proved the proportional nucleus, which is the modification of a nucleus, is a selector of a grand subcore in any balanced n-person TU-game.
UR - http://www.scopus.com/inward/record.url?scp=0038339235&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0038339235
SP - 10
EP - 16
JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
SN - 1025-3106
IS - 3
ER -
ID: 40898135